raenfall455
25.02.2021 •
Business
Exercise 1: Here is a sample of checks from the Metro Diner from this past week: $57 $102 $59 $58 $77 $55 $101 $74 $71 $60 $85 $62 $70 $77 $91 $71 $66 $66 $67 $77 $94 $68 $105 $85 $100 $78 $73 $73 $74 $85 $55 $99 $57 $56 $75 $53 $50 $72 $69 $51 a) How many classes would you recommend? b) What class interval would you suggest? c) Construct a frequency distribution, relative frequency distribution, and a cumulative frequency distribution d) Draw a histogram, frequency polygon, and ogive e) Comment on the "shape" of the data
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Ответ:
This is binomial distribution problem.
We are given that:
n = sample size = 500
p = proportion which burns wood = 0.27,
q = proportion which does not burn wood = 1-p = 0.73
A. Mean is calculated as:
Mean = n*p
Mean = 500 * 0.27
Mean = 135
B. Variance is calculated as:
Variance = n*p*q
Variance = 500*0.27*0.73
Variance = 98.55
C. Standard deviation is calculated as:
Standard deviation = sqrt(variance)
Standard deviation = sqrt(98.55)
Standard deviation = 9.93